Question

What is -5(-1x+6)-1x=1x

Answer 1

Let's simplify the given expression step by step:

-5(-1x + 6) - 1x = 1x

Step 1: Distribute -5 to the terms inside the parentheses:

5x - 30 - 1x = 1x

Step 2: Combine like terms on the left side of the equation:

4x - 30 = 1x

Step 3: Move all terms involving x to one side of the equation:

4x - 1x = 30

Step 4: Combine like terms:

3x = 30

Step 5: Solve for x by dividing both sides of the equation by 3:

x = 30 / 3

Step 6: Simplify the right side:

x = 10

Therefore, the solution to the equation -5(-1x + 6) - 1x = 1x is x = 10.

Answer 2

x = 10

Explanation:

Perhaps you want the solution to the equation -5(-1x +6) -1x = 1x.

Simplify

It usually works well to simplify the equation as a first step.

-5(-1x +6) -1x = 1x . . . . . . given

5x -30 -1x = 1x . . . . . eliminate parentheses using the distributive property

Solve

We want to collect the variable terms on one side of the equation, and the constant terms on the other side. Along the way, we want to make the coefficient of x be 1.

3x -30 = 0 . . . . . . subtract 1x and collect terms

x -10 = 0 . . . . . . divide by 3

x = 10 . . . . . . add 10

Check

We can put this value of x in the original equation to see if it gives a true statement.

-5(-1(10) +6) -1(10) = 1(10)

-5(-10 +6) -10 = 10

-5(-4) -10 = 10

20 -10 = 10 . . . . . . . true

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